地震动反演及参数识别的广义统计平均法
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摘要
针对结构参数未知条件下的地震动反演或基底输入未知时的结构系统参数识别问题进行研究.依据地震作用的力学性质可以转化为一类关于估计输入的修正条件,并考虑到动力方程中的相对量与测量中的绝对量之间的关系,依据统计平均的思想,具体讨论了地震动反演及参数识别的广义统计平均法的实现步骤,形成新的迭代过程.该迭代过程在给出识别参数的同时,也反演得到了地震动时程,其核心意图是将地震动的影响计入测量信息中去.理论分析及算例表明了该算法的可行性、有效性、实用性、稳定的收敛特性和良好的反演效果.
Aiming at earthquake dynamic inverse analysis and parameter identification without input information,an iterative procedure based on the mechanical characteristic of ground motion,the relationship between relative magnitude and absolute magnitude in dynamic equation,and statistical average were developed for input process and structure parameters.The key of the iterative procedure is that the effect of earthquake excitation is taken account into the measuring information.The validity of the algorithm has been proved by both theoretical analysis and numerical example,which make the utilization of this algorithm more reasonable.
Aiming at earthquake dynamic inverse analysis and parameter identification without input information,an iterative procedure based on the mechanical characteristic of ground motion,the relationship between relative magnitude and absolute magnitude in dynamic equation,and statistical average were developed for input process and structure parameters.The key of the iterative procedure is that the effect of earthquake excitation is taken account into the measuring information.The validity of the algorithm has been proved by both theoretical analysis and numerical example,which make the utilization of this algorithm more reasonable.
引文
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[2]Hart G C,Yao T P.System identification in structuralDynamics[J].ASCE,EM,1997,103(6):1089-1104.
[3]Kozin F.Estimation of parameter of system driven bywhite noise excitation[A].Henning K ed Proc of IU-TAM Symp on Random Vibration and ReliabityFrankfurt Toder[C].Germany,1985:163-173.
[4]周传荣,赵淳生.机械振动参数识别及其应用[M].北京:科学出版社,1989.(ZHOU Chuan-Rong,ZHAO Chun-Sheng.Parametersidentification and application of mechanical vibration[M].Beijing:Science Press,1989.)
[5]Wang D,Haldar A.Element-level system identificationwithunknown input[J].Journal of Engineering Me-chanics,1994,120(1):159-176.
[6]Hoshiya M,Maruyma O.Identification of running loadand Beam system[J].Journal of Engineering Mechan-ics,1992,113(6):813-824.
[7]Hoshiya M,Sutoh A.Identification of input and pa-rameter of MDOF system[A].Proc,EASEC-5[C].Griffith Univ,Gold Coast,Australia,1995:1309-1314.
[8]Wang D,Haldar A.System identification with limitedobservation and without input[J].Journal of Engi-neering Mechanics,1997,123(5):504-511.
[9]李国强,李杰.工程结构动力检测理论与应用[M].北京:科学出版社,2002.(LI Guo-qiang,LI Jie.Theory and application of dy-namictests in engineering[M].Beijing:Science Press,2002.)
[10]李杰.随机结构系统——分析与建模[M].北京:科学出版社,1996.(LI Jie.Stochastic structural systems-analysis andmodeling[M].Beijing:Science Press,1996.)
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